Question

using the image provided, which of the following is the shortest side of the triangle?
○ $overline{mn}$
○ $overline{nl}$
○ $overline{ml}$
○ $overline{ln}$

Explanation:

Step1: Recall angle - side relationship

In a triangle, the shortest side is opposite the smallest angle.

Step2: Identify the smallest angle

The angles of the triangle are \(39^{\circ}\), \(57^{\circ}\), and \(84^{\circ}\). The smallest angle is \(39^{\circ}\), which is \(\angle L\).

Step3: Determine the opposite side

The side opposite \(\angle L\) is \(\overline{MN}\).

Answer:

\(\overline{MN}\)